Cremona's table of elliptic curves

14640 = 2⁴ · 3 · 5 · 61

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 61+	Signs for the Atkin-Lehner involutions
Class	14640y	Isogeny class
Conductor	14640	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	32256	Modular degree for the optimal curve
Δ	-42665650421760 = -1 · 220 · 37 · 5 · 612	Discriminant
Eigenvalues	2- 3+ 5-  2 -2 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1560,-314640]	[a1,a2,a3,a4,a6]
Generators	[131844:9211904:27]	Generators of the group modulo torsion
j	-102568953241/10416418560	j-invariant
L	4.5079580153108	L(r)(E,1)/r!
Ω	0.2843416518489	Real period
R	7.9270096132562	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1830d1 58560dn1 43920bi1 73200ci1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14640y1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	-	2	-2	-2	-6	4	8	0	-4	-8	-2	6	-8	6	6	+	2	-6	-2	8	4	0	-6

---

Quadratic twists for elliptic curve 14640y1

-4	8	-3	5
1830d1	58560dn1	43920bi1	73200ci1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations